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Artemon [7]
3 years ago
13

Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120°

+ 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

x = 120-95

Step-by-step explanation:

The correct equation for the expression is:

∠AFC = ∠AFB+ ∠BFC

Given that

∠AFC = 120°

∠BFC = 95°

Substitute

120= ∠AFB+95

∠AFB = 120-95

If ∠AFB = x

The required equation will be:

x = 120-95

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What is the length of a diagonal brace that could be used for a wall 9 feet high and 12 feet long
kolbaska11 [484]
  You use the pythagorean theorem to solve this problem. The theorem is a^2+b^2=c^2, where c^2 is the length of the hypotenuse of the triangle, or the side that's the longest and is opposite the right angle of the right triangle. Note that this theorem is applicable because a wall has right angles and it is assumed that the diagonal brace would form a right triangle (the diagonal brace is the hypotenuse). Next, you substitute the values of 9 and 12 for a and b, and then you proceed to solve this algebraically to get c after taking the square roots of both sides of the equation to get c from c^2.
5 0
3 years ago
How do I state the number of complex roots, the possible number of real and imaginary roots, and the possible rational roots for
Cerrena [4.2K]

Answer:

sqt(b^2-4ac)

Step-by-step explanation:

The expression which is given in the answer is called the discriminant. Because it discriminate all the types of roots which can be derived from any quadratic equation. Now imagine a standard quadratic equation:

ax^2+bx+c

The value of x can be derived from quadratic formula which is

x = -b±[(b^2-4ac)^(-1/2)]/2a

Now take out discriminant, which is

sqrt(b^2-4ac)

if you put values of a,b and c from a quadratic equation,

you can possibly have three types of discriminant values. Lets represent discriminant as D

So, D can be 0

D can be any real number greater than 0

D can be any real number less than 0

Now we will understand each.

If D = 0, you can see that the both roots will be equal, because in standard quadratic formula, discriminant will make no change either added or subtracted. So we will have equal roots if discriminant is zero. Equal roots means we will only have one value of roots.

If D is any real number greater than zero, it will be simply any real roots. There will be two values of roots, because you will first add up discriminant in quadratic formula and then subtract, because this sign ± means you have two perform both functions one by one.

If D is real number less than 0, we know that by applying square root, it will be converted into an imaginary number, a number with iota, e.g 4i. You will have two imaginary roots here due to this sign ± means you have two perform both addition and subtraction one by one.

Now the complex numbers are basically combination of real and imaginary numbers, so if discriminant has value less than zero, you would have imaginary as well as complex roots and there number will be two because due to this sign ± you have to perform addition and subtraction again.

7 0
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